Z.-G. Wang
School of Mathematics and Computing Science, Hunan First Normal University, Changsha 410205, Hunan, P.R. China.
[ 1 ] - Convex combinations of harmonic shears of slit mappings
In this paper, we study the convex combinations of harmonic mappings obtained by shearing a class of slit conformal mappings. Sufficient conditions for the convex combinations of harmonic mappings of this family to be univalent and convex in the horizontal direction are derived. Several examples of univalent harmonic mappings constructed by using these methods are presented to illustrate...